A car with a mass of 1000 g moves on a straight road, in a 50 m radius bend as shown in the figure. If the static friction coefficient between the road and the wheel is 0.5 for dry ground, what is the maximum speed at which the car can turn the corner safely? (g = 10 m / s ^ 2)

A car with a mass of 1000 g moves on a straight road, in a 50 m radius bend as shown in the figure. If the static friction coefficient between the road and the wheel is 0.5 for dry ground, what is the maximum speed at which the car can turn the corner safely? (g = 10 m / s ^ 2)

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 8WUE: A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the...

See similar textbooks

Related questions

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

A: (b) 0.49

Q: At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls…

A: From Newton's law for the riders to be remain plastered to the wall without falling down is can be…

Q: A motorcycle with mass 5 kg moves at a constant speed of 16 m/s in a vertical circle inside a hollow…

Q: On a banked race track, the smallest circular path on which cars can move has a radius of 113 m,…

A: Given that, smallest radius, r1=113 mlargest radius r2=161 mheight of the outer wall h=17.6 m

Q: A curve in a stretch of highway has radius 501 m. The road is unbanked. The coefficient of static…

A: Given : Radius (r) = 501 m Coefficient of static friction (μs) = 0.600

Q: A stuntman drives a car (without negative lift) over the top of a hill, the cross section of which…

A: Free body diagram of the car at the top of the hill

Q: A curve on the freeway has a radius r = 300 m. What banking angle would allow vehicles traveling at…

A: Here given that the radius of the curve is 300 m. Now the car is moving at a speed of 35 m/s.We have…

Q: At what angle must a freeway be banked at a curve to eliminate sideway forces parallel to the road,…

Q: Justin is driving his 1500-kg Camaro through a horizontal curve on a level roadway at a speed of 23…

A: Given: mass, m = 1500 kg velocity, v = 23 m/s radius, r = 65 m

Q: An 800 kg racing car travels around a circular flat path of radius r=100 m at a maximum constant…

Q: A 1750 kg car rounds a curve on a flat road of radius 65.0 m. If coefficient of static friction is…

A: Given:- m = 1750 Kg r =65m u = 0.62

Q: A car is speeding with a velocity of 80 km/hr around a curve that is banked at an angle of 35◦ .…

A: It is given that, v=80 km/hr=22.22 m/sθ=35oμs=0.25μk=0.15

Q: A woman is riding a jet ski at a speed of 30 m/s and notices a seawall straight ahead. The farthest…

A: The expression for the distance is,

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

Q: A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between…

A: Given:Road radius=50mCo effiecient of static friction μs=0.20Acceleration due to gravity g=9.8 m/s2

Q: A 4.30-kg object is attached to a vertical rod by two strings as shown in the figure below. The…

Q: A curve in a stretch of highway has radius 489 m. The road is unbanked. The coefficient of static…

A: Given data : Radius of the curve (r) = 489m Coefficient of static…

Q: It was a dark and stormy night in Winona, Minnesota. A driver advances along an icy road - assume…

A: This is case of Banked turn when there is no friction ,speed with which person take the turn to…

Q: A 500 g box undergoes a uniform circular motion at a speed of along a 30° inclined banked curve. The…

Q: A car goes around a flat curve of radius 40 m at a speed of 14 m/s. What must be the minimum…

A: Given Data : The velocity of the car is given as v=14 ms The radius of the turn is given as r = 40m.…

Q: A car is safely negotiating an unbanked circular turn at a speed of 15 m/s. The road is dry, and the…

A: This question is based on Newton's laws of motion topic. When a car takes a circular turn, it…

Q: A car is rounding a tight curve on a winding road. If the radius of curvature of this curve is 10.0…

A: Given data The gives the radius of the road is R = 10 m The static friction is given as μs = 0.80.…

Q: An engineer has to design a banked curve road with an unknown radius R at an angle B = 20 2° as…

Q: What is the maximum speed with which a 1200-kgkg car can round a turn of radius 90.0 mm on a flat…

Q: A car travels down a straight country road that leads over hills and through valleys. On one…

A: Given:Actual weight of the driver = 740 NRadius of the top of the circle of the hill = 115 mRadius…

Q: A 1,475 kg car moving on a flat, horizontal road negotiates a curve as shown in figure (a). If the…

A: Mass of the car, m=1475 kg The radius of the curve, r=45 m The coefficient of static friction…

Q: A given highway turn has a 110 km/h speed limit and a radius of curvature of 1.3 km 1)What banking…

A: Given Information:- Speed limit of the highway turn is v=110 km/h =110×1 km1 h×1000 m1 km×1 h60…

Q: At amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls…

A: Given: Room radius = 3.3 m Static friction coefficient = 0.389 g = 10 m/s2

Q: W n 8 = 18° R 0 = 18°

A: Given: The radius of the curved path is 120 m. The angle of the banking is 18°.

Q: A car goes around a flat curve of radius 50 m at a speed .of 14 m/s What must be the minimum…

Q: A child is standing on a merry-go-round (u - .16) with a radius of 2 meters. What is the fastest…

A: The net force acting on an object is the product of the mass and the acceleration of the object. An…

Q: A 2000 kg car rounds a curve of radius 70 m banked at an angle of 12°. If the car is traveling at 95…

A: Given, mass of the car, m = 2000 kg radius of the curve, r = 70 m angle of the banked, θ = 12° speed…

Q: A car travels at a steady 40.0 m/s around a horizontal curve of radius 200 m. What is the minimum…

Q: A car travels at a constant speed of 14.1 m/s round a leve bend of radius 47.8 m. What is the…

A: The coefficient of friction is given by μ = v2r g where, r is the radius, v is the velocity, g is…

Q: If a curve with a radius of 95 m is properly banked for a car traveling 62 km/h what must be the…

Q: A curve at a racetrack has a radius of 800 m and is banked at an angle of 7.0°. On a rainy day, the…

A: radius, r = 800 m Angle = 7° coefficient of friction = 0.5

Q: The figure above is taken from one of the Webassign HW problems which shows a person held up against…

Q: Centripetal Force: How fast can a driver (90 kg) speed a racing car (1200 kg) around the banked turn…

A: Given data: The mass of driver is m=90 kg. The mass of car is M=1200 kg. The coefficient of friction…

Q: A curve in a highway has a radius of curvature of 120 m and is banked at 3. On a day when the road…

A: The radius of curvature of the highway is R = 120m. The highway is banked at θ=3°. Assume the safest…

Q: A car is picking up speed as it goes around a horizontal curve whose radius is 100 m. The…

A: On a horizontal curved surface the friction force provides centripetal force i.e μN=mv2rwhere N=mg…

Q: A car is safely negotiating an unbanked circular turn at a speed of 29 m/s. The road is dry, and the…

Q: A mountain goat drives around a e at a speed of 17 m/s with a box of pineapples in the back of her…

Q: During a snow where the road is almost frictionless, a car can round a curve of radius 100 m at a…

A: Radius , R = 100 m Maximum speed when snowy , Vmax(s) = 15 m/s Safe velocity , V = 25 m/s To find =…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its path. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration?
An office door is given a sharp push and swings open against a pneumatic device that slows the door down and then reverses its motion. At the moment the door is open the widest, (a) does the doorknob have a centripetal acceleration? (b) Does it have a tangential acceleration?
Which of the following is impossible for a car moving in a circular path? Assume that the car is never at rest. (a) The car has tangential acceleration but no centripetal acceleration. (b) The car has centripetal acceleration but no tangential acceleration. (c) The car has both centripetal acceleration and tangential acceleration.
A light string can support a stationary hanging load of 25.0 kg before breaking. An object of mass m = 3.00 kg attached to the string rotates on a frictionless, horizontal table in a circle of radius r = 0.800 m, and the other end of the string is held fixed as in Figure P5.17. What range of speeds can the object have before the string breaks? Figure P5.17
A car travels around an unbanked curve at 17 m/s. If the static friction coefficient between the tires and the road is 0.45, what is the minimum radius curve that the car can take at this speed without slipping?
A 1000 kg car enters an unbanked curve of 1 km radius with a velocity of 80 kph. What is the minimum coefficient of friction between the road and the car that will allow the car to travel through the turn without banking? Correct answer is 0.05
A 700 kg car rounds a curve that is banked with an angle of 10 degrees from the horizontal and has a radius 50 meters. There is friction between the road and the tires and the maximum static frictional force is 3820 N. The normal force on the car while it goes around the curve is 7640 N. What maximum speed can the car take the turn without slipping a)24 m/s b)36 m/s c)18 m/s d)42 m/s
What is the maximum speed with which a 1050 kg car can round a turn of radius 77m on a flat road if coefficient of static friction between tires and road is 0.80?
A racetrack curve has radius 90.0 mm and is banked at an angle of 15.0 ∘∘. The coefficient of static friction between the tires and the roadway is 0.400. A race car with mass 1200 kg rounds the curve with the maximum speed to avoid skidding. What is the car's radial acceleration? The answer apparently is not 8.76 m/s^2
A curve at a racetrack has a radius of 800 m and is banked at an angle of 7.0°. On a rainy day, the coefficient of friction between the cars’ tires and the track is 0.50. What is the maximum speed at which a car could go around this curve without slipping?
A curve in a stretch of highway has radius 512 m. The road is unbanked. The coefficient of static friction between the tires and road is 0.700. What is the maximum safe speed that a car can travel around the curve without skidding?
A curve in a highway has a radius of curvature 120 meters and is banked at 30 , On the day when the road is icy, what is the safest speed to go around the curve? Select one: a. 8.9 m/s b. 5.9 m/s c. 6.9 m/s d. 7.9 m/s e. 9.9 m/s